Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120f |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1036843752960000 = 212 · 310 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28481,1001775] |
[a1,a2,a3,a4,a6] |
Generators |
[1387:51300:1] |
Generators of the group modulo torsion |
j |
623799057208384/253135681875 |
j-invariant |
L |
4.8886217893879 |
L(r)(E,1)/r! |
Ω |
0.44659058096657 |
Real period |
R |
0.18244233823022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9120a2 18240ca1 27360bd2 45600z2 |
Quadratic twists by: -4 8 -3 5 |